Keep a conversation going when she says she's not looking for anything committed

This statement usually means she's been burned and needs space, she's happy being single, or she's not sure about you specifically yet. You can't tell which from text alone. The detail that matters for texting is this. She's not saying don't flirt or don't be interested. She's saying don't assume we're building toward a relationship. This is her way of staying in control of the frame. When you respect that frame in your reply, she can relax. When you fight it or ignore it, the conversation tightens up.

Your reply needs to do exactly two moves. First, acknowledge what she said without over-explaining or negotiating it. Don't say 'that's cool' five times. Just show you heard it. Second, shift to something else that's actually interesting. Ask her something real about her life or her interests, or say something that has nothing to do with the relationship question. The goal is to make her feel like you're not sitting there processing her boundary. You heard it and you're already moving on. This proves you can talk about other things and that you're not going to spend the next three weeks trying to convince her otherwise.

Reply within an hour or two, while the conversation is still warm. A late reply here feels like you're hurt or reconsidering. Once you send it and she responds, follow her lead on pace. If she's messaging back quickly and asking you things, keep going. If she takes hours or goes quiet, don't chase it with another message. When someone says she's not looking for commitment and then stops texting, she's either busy or she's lost interest. Sending a follow-up message reads as pushing against what she just told you. Let her come back if she wants to talk.